Answer:
x = 4.3
Step-by-step explanation:
x= 4.3
Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
Answer:
2 7/8
Step-by-step explanation:
Let's convert to common denominator
3/8 = 3/8
2 1/2 = 2 4/8
3/8 + 2 4/8 = 2 7/8
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
?
Step-by-step explanation:
I think some of the question is missing.
So, let's list the facts:
1) In a week, the eagle eats 3.85 kilograms
2) there are 7 days in a week
3) on each day, the eagle eats the same amount.
This means that in order to find out how much was eaten on each day, we need to divide the whole week's food by the number of days in a week:
3.85/7= 0.55
(3.85=3.5+0.35 and 5*7=55, so (3.5+0.35)/7=0.5+0.05=0.55
Every day the eagle eats 0.55 kilograms of meat!
